The default gateway will be the IP address of your router. For 99% of cases it will be the same as the IP address of the Arduino (if you've configured it correctly) with the last byte changed to a 1:
e.g. Arduino IP: 192.168.0.5 => Default Gateway: 192.168.0.1
I think you may be talking about different things.
A router always has two addresses. One, the inside address, is valid on the local network. The other, the outside address, is valid on the network the router is forwarding packets to.
It sounds like the outside address is the one you are after. The public IP address assigned to your router by your ISP. Finding your public IP is not entirely straightforward, thanks to the IP sharing protocol NAT.
If your router supports it, Dynamic DNS is about the easiest way to keep track of your public IP address. Have a look within your router admin pages.
2.29.30.0 is not a valid default gateway, it will be in the ranges:
10.0.0.0 - 10.255.255.255
172.16.0.0 - 172.31.255.255
192.168.0.0 - 192.168.255.255
As these are the only ranges that are reserved for private/local networks. On your PC, when connected to the network bring up a command prompt and type in
ipconfig /all
This will give you information on all of the network cards active in your computer. Find your connection in the list and read off the Default Gateway address from there.